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ec_curvedata • Show schema
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{'Ciso': '215600fy', 'Clabel': '215600fy2', 'Cnumber': 2, 'abc_quality': 0.8100510311446619, 'absD': 28471058000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -108208, -11072412], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 215600, 'degree': 1843200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8729860255959410585429780484', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [595508, 121], 'lmfdb_iso': '215600.m', 'lmfdb_label': '215600.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -88, -228], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.d.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2188514787263979351067554429', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88467013372391196614129459112', 'prec': 107}, 'szpiro_ratio': 3.777246450897656, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, -1, 0, -6, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -2, 0, 0, -1, -6, 2, 4, 6, -2, 8, 8, -6, 12, -10, 0, -4, 10, 2, 8, 2, -4, 4, 14, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 215600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '215600.m', 'trace_hash': 7784591479447073}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023612665169132705201930804521', 'prec': 107}, 'conductor': 215600, 'gens': [[422, 4312, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2188514787263979351067554429', 'prec': 100}], 'lmfdb_label': '215600.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26698217615274135048504067661', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7391503708008144059448630738148368679', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-117, 0, 1]], 'xcoord_integral_points': [-242, -117, 422]}
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lmfdb_label 215600.m1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9402464
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '215600.m1', 'torsion': [2, 2]}
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id: 9402465
{'degree': 4, 'field': [56, -56, 16, -1, 1], 'lmfdb_label': '215600.m1', 'torsion': [4]}
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id: 9402468
{'degree': 8, 'field': [-12474, -11340, -7398, -3120, -636, -110, -12, 0, 1], 'lmfdb_label': '215600.m1', 'torsion': [6]}
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id: 9402467
{'degree': 8, 'field': [1681, 0, -1352, 0, -206, 0, -8, 0, 1], 'lmfdb_label': '215600.m1', 'torsion': [2, 4]}
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id: 9402466
{'degree': 8, 'field': [5041, 0, 579, 0, 136, 0, 19, 0, 1], 'lmfdb_label': '215600.m1', 'torsion': [2, 4]}
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id: 9402469
{'degree': 16, 'field': [36865376, -7059008, 25358848, 275264, 6719896, 512688, 1215208, 130152, 147182, 15400, 11012, 726, 567, -22, 16, 0, 1], 'lmfdb_label': '215600.m1', 'torsion': [8]}
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id: 9402470
{'degree': 16, 'field': [338294531, -32137934, 39439288, -16488516, 13044622, -5988526, 2339098, -218204, -43011, 69610, -18586, 2648, -502, 0, 20, -8, 1], 'lmfdb_label': '215600.m1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5343800
{'conductor': 215600, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '215600.m1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5343801
{'conductor': 215600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '215600.m1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5343802
{'conductor': 215600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '215600.m1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5343803
{'conductor': 215600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '215600.m1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3041948
{'adelic_gens': [[57, 166, 164, 55], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [48, 1, 43, 0], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 215600, 'lmfdb_label': '215600.m1', 'prime': 0}
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id: 793143
{'conductor': 215600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '215600.m1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 215600.m does not appear in ec_padic